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《山东大学学报(理学版)》 ›› 2025, Vol. 60 ›› Issue (12): 130-141.doi: 10.6040/j.issn.1671-9352.0.2023.432

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强奇异Calderón-Zygmund多线性交换子在Campanato空间上的估计

强佩佩,陶双平*   

  1. 西北师范大学数学与统计学院, 甘肃 兰州 730070
  • 发布日期:2025-12-19
  • 通讯作者: 陶双平(1964— ),男,教授,博士生导师,博士,研究方向为调和分析及其在色散方程中的应用. E-mail:taosp@nwnu.edu.cn
  • 作者简介:强佩佩(2000— ),女,硕士研究生,研究方向为调和分析. E-mail:peipei00012@163.com *通信作者:陶双平(1964— ),男,教授,博士生导师,博士,研究方向为调和分析及其在色散方程中的应用. E-mail:taosp@nwnu.edu.cn
  • 基金资助:
    国家自然科学基金资助项目(12361018)

Estimates of multilinear commutators of strongly singular Calderón-Zygmund operators on Campanato Spaces

QIANG Peipei, TAO Shuangping*   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Published:2025-12-19

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摘要： 研究多线性强奇异Calderón-Zygmund算子与Lipschitz函数生成的多线性交换子的映射的性质。证明在一定条件下,强奇异Calderón-Zygmund多线性交换子T(→overb)是从Lebesgue空间Lp1(Rn)×…×Lpm(Rn)到Campanato空间C p, β(Rn)上有界的。

关键词: 多线性强奇异Calderón-Zygmund算子, 交换子, Lipschitz空间, Campanato空间

Abstract: This paper studies the mappings properties of the multilinear commutators generated by the multilinear strongly singular Calderón-Zygmund operators and Lipschitz functions. It is proved that the multilinear commutators T(→overb) of the strongly singular Calderón-Zygmund operators is bounded from Lebesgue spaces to Campanato spaces under some certain conditions.

Key words: multilinear strongly singular Calderón-Zygmund operators, commutator, Lipschitz spaces, Campanato spaces

中图分类号: 

  • O174
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